This weekend, you have a chance to celebrate the music and longevity of a group that has succeeded in staying together and creating powerful music in the face of political opposition. Chile’s Inti-Illimani, a folk ensemble that was founded in 1967, is on a world tour, La Maquina del Tiempo (Time Machine) which brings it to Fairfield University’s Quick Center on Saturday, Oct. 13. In addition to the music, which will include works throughout the band’s four decades, there will be a pre-concert talk.